Finite Group Databasebeta

← Group #280313

Character table — Group #280313

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size11111111222222224444444444888888888888888888888888161616161616161616161616161632
order12222222444444444444448888224444444488888888888888444444448888884
χ111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-111-1-1-1-11111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111-1-111-1-1-1-11111111111111111-1-1-1-1-11-1-1-1-1-1-111-1
χ411111111111111111111111111-1-111-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111-1-11
χ51111111111111111111111-1-1-1-1111111-1-111-1-11111-1-1-1-1-1-1-1-1-111-1-1111-1-111-1-1-1
χ61111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-111-1-1-1-1-111-1-1111
χ71111111111111111111111-1-1-1-1-1-111-1-11111-1-11111-1-1-1-1-1-1-1-11-1-1111-1-111-1-1-1-11
χ81111111111111111111111-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-111111-1-111-111-1-11111-1
χ91111111111111111-1-1-1-111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1111-1-1-1-1111
χ101111111111111111-1-1-1-111111111-1-11111-1-1111111-1-1-1-111111-1-1-1-1-1-1-11111-1-1-1
χ111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1111111-1
χ121111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-11111-111-1-1-1-1-1-11
χ131111111111111111-1-1-1-111-1-1-1-111-1-111-1-111-1-1-1-1-1-111111111-1-1-11111111-1-1-1-1-1
χ141111111111111111-1-1-1-111-1-1-1-111-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1-111-1-1-1-1-111111
χ151111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111111-1-11-1-1-1-111-1-11
χ161111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1111-1-1-11111-1-111-1
χ17222222222-222-2-2-220000-2-222222200-2-2-2-200-2-2000000000000200000000000000
χ18222222222-222-2-2-220000-2-22222-2-200222200-2-2000000000000-200000000000000
χ19222222222-222-2-2-220000-2-2-2-2-2-22200-2-2220022000000000000-200000000000000
χ20222222222-222-2-2-220000-2-2-2-2-2-2-2-20022-2-20022000000000000200000000000000
χ2122222222-22-2-2222-22222-2-2000000-2-200002200-2-2220000000000000-2000000000
χ2222222222-22-2-2222-22222-2-2000000-2-20000-2-20022-2-200000000000002000000000
χ2322222222-22-2-2222-2-2-2-2-2-2-2000000220000220022-2-20000000000000-2000000000
χ2422222222-22-2-2222-2-2-2-2-2-2-2000000220000-2-200-2-22200000000000002000000000
χ252-22-2-22-2222-2-2-22-222i2i−2i−2i2-20000002i−2i000000000000000000000000002-2002i−2i000
χ262-22-2-22-2222-2-2-22-222i2i−2i−2i2-20000002i−2i00000000000000000000000000-2200−2i2i000
χ272-22-2-22-2222-2-2-22-22−2i−2i2i2i2-2000000−2i2i000000000000000000000000002-200−2i2i000
χ282-22-2-22-2222-2-2-22-22−2i−2i2i2i2-2000000−2i2i00000000000000000000000000-22002i−2i000
χ292-22-2-22-22-2222-22-2-22i2i−2i−2i-2200002-2−2i2i2-200000000000000000002i−2i000000000000
χ302-22-2-22-22-2222-22-2-22i2i−2i−2i-220000-22−2i2i-220000000000000000000−2i2i000000000000
χ312-22-2-22-22-2222-22-2-2−2i−2i2i2i-2200002-22i−2i2-20000000000000000000−2i2i000000000000
χ322-22-2-22-22-2222-22-2-2−2i−2i2i2i-220000-222i−2i-2200000000000000000002i−2i000000000000
χ332-22-2-22-22-2-2222-22-200002-200002-200-2200000000002i2i−2i−2i00000002i−2i0000000000
χ342-22-2-22-22-2-2222-22-200002-200002-200-220000000000−2i−2i2i2i0000000−2i2i0000000000
χ352-22-2-22-22-2-2222-22-200002-20000-22002-200000000002i2i−2i−2i0000000−2i2i0000000000
χ362-22-2-22-22-2-2222-22-200002-20000-22002-20000000000−2i−2i2i2i00000002i−2i0000000000
χ372-2-22-222-20-20022-202-22-200i2i2−i2−i2000000002i−2ii2−i2002i−2ii2−i2i2−i222−2−20000000000002−20
χ382-2-22-222-20-20022-202-22-200i2i2−i2−i200000000−2i2ii2−i200−2i2ii2−i2i2−i2−2−222000000000000−220
χ392-2-22-222-20-20022-202-22-200−i2−i2i2i2000000002i−2i−i2i2002i−2i−i2i2−i2i2−2−222000000000000−220
χ402-2-22-222-20-20022-202-22-200−i2−i2i2i200000000−2i2i−i2i200−2i2i−i2i2−i2i222−2−20000000000002−20
χ412-2-22-222-20-20022-20-22-2200i2i2−i2−i2000000002i−2ii2−i200−2i2i−i2i2−i2i2−2−2220000000000002−20
χ422-2-22-222-20-20022-20-22-2200i2i2−i2−i200000000−2i2ii2−i2002i−2i−i2i2−i2i222−2−2000000000000−220
χ432-2-22-222-20-20022-20-22-2200−i2−i2i2i2000000002i−2i−i2i200−2i2ii2−i2i2−i222−2−2000000000000−220
χ442-2-22-222-20-20022-20-22-2200−i2−i2i2i200000000−2i2i−i2i2002i−2ii2−i2i2−i2−2−2220000000000002−20
χ4544444444-4-4-4-4-4-4-4-40000440000000000000000000000000000000000000000000
χ46444-4-4-44-4404-4000-400000000000000000000000000000000000000000022−2200000
χ47444-4-4-44-4404-4000-4000000000000000000000000000000000000000000−222200000
χ48444-4-4-44-4-40-44000400000000000000004i−4i0000000000000000000000000000000
χ49444-4-4-44-4-40-4400040000000000000000−4i4i0000000000000000000000000000000
χ5044-44-4-4-44000000000000002i2−2i22i2−2i200000000000022−220000002i−2i2i−2i000000000000000
χ5144-44-4-4-44000000000000002i2−2i22i2−2i2000000000000−2222000000−2i2i−2i2i000000000000000
χ5244-44-4-4-4400000000000000−2i22i2−2i22i200000000000022−22000000−2i2i−2i2i000000000000000
χ5344-44-4-4-4400000000000000−2i22i2−2i22i2000000000000−22220000002i−2i2i−2i000000000000000
χ5444-4-444-4-404004-4-400000000000000000000000000022−22−22220000000000000000000
χ5544-4-444-4-404004-4-4000000000000000000000000000−222222−220000000000000000000
χ5644-4-444-4-40-400-44404i−4i−4i4i000000000000000000000000000000000000000000000
χ5744-4-444-4-40-400-4440−4i4i4i−4i000000000000000000000000000000000000000000000
χ584-4444-4-4-440-44000-40000004-4-44000000000000000000000000000000000000000
χ594-4444-4-4-440-44000-4000000-444-4000000000000000000000000000000000000000
χ604-4444-4-4-4-404-400040000000000000000000000000000002i2−2i2−2i22i2000000000000000
χ614-4444-4-4-4-404-40004000000000000000000000000000000−2i22i22i2−2i2000000000000000
χ624-44-4-44-444-4-4-44-4440000-440000000000000000000000000000000000000000000
χ634-4-44-444-40400-4-4400000002i22i2−2i2−2i20000000000−2i22i2000000000000000000000000000
χ644-4-44-444-40400-4-440000000−2i2−2i22i22i200000000002i2−2i2000000000000000000000000000
χ658-8-8-88-888000000000000000000000000000000000000000000000000000000000

Here i is the imaginary unit (i² = −1).